Series Daffodil
Posted on Wednesday, August 4th, 2010 at 8:20 pmArithmetic Series help?
I'm not sure if I'm supposed to use a process similar to finding the sum of geometric series.
Here is the question:
A market gardener plants daffodil bulbs in rows, starting with a row of 45 bulbs. Each successive row has 5 more bulbs. If the market gardener plants 10 545 bulbs, how many rows are there?
10545 = 5 ā {k=1,n} 8 + k ......... 45 + 50 + 55 + 60 + ...
2109 = ā {k=1,n} 8 + ā {k=1,n} k
2109 = 8n + n(n+1)/2
4218 = nĀ² + 17n
(n - 57) (n + 74) = 0
n = 57 .... discard -74
Answer: 57 rows
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